Math 461: College Geometry I

Student Body:

This course is required for Secondary Education students specializing in math. It is also taken by math majors who are interested in geometry or who want to gain experience in writing proofs before they attempt more advanced math courses.

Background and Goals:

An introduction to Euclidean or non-Euclidean geometry.

Alternatives:

N/A

Subsequent Courses:

N/A

Course Content:

The precise content of the course varies, but some of the topics that are often covered are

Review of high-school geometry

Special points of triangle.

The nine-point circle.

Simson lines.

The theorems of Ceva and Menelaus.

Morley's theorem.

Vectors techniques of proof.

Radical axes of circles.

Compass and straightedge constructions.

credits:

3. (N-A)

semester:

FallSpring

prereqs:

MATH 234 or (MATH 222 and MATH/COMP SCI 240) or MATH 375 or graduate or professional standing or member of the Pre-Masters Mathematics (Visiting International) Program